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Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

机器学习 · 统计学 2016-01-01 Michael U. Gutmann , Jukka Corander

Bayesian models of behavior have provided computational level explanations in a range of psychophysical tasks. One fundamental experimental paradigm is the production or reproduction task, in which subjects are instructed to generate an…

机器学习 · 计算机科学 2022-01-03 Nils Neupärtl , Constantin A. Rothkopf

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

最优化与控制 · 数学 2013-10-03 Victor Picheny

Active learning in computer experiments aims at allocating resources in an intelligent manner based on the already observed data to satisfy certain objectives such as emulating or optimizing a computationally expensive function. There are…

统计方法学 · 统计学 2025-01-24 Difan Song , V. Roshan Joseph

Determination of cosmological parameters is a major goal in cosmology at present. The availability of improved data sets necessitates the development of novel statistical tools to interpret the inference from a cosmological model. In this…

宇宙学与河外天体物理 · 物理学 2024-09-04 Ranbir Sharma , H K Jassal

The dynamic emulation of non-linear deterministic computer codes where the output is a time series, possibly multivariate, is examined. Such computer models simulate the evolution of some real-world phenomenon over time, for example models…

机器学习 · 统计学 2022-03-22 Hossein Mohammadi , Peter Challenor , Marc Goodfellow

The ability to efficiently infer system parameters is essential in any signal-processing task that requires fast operation. Dealing with quantum systems, a serious challenge arises due to substantial growth of the underlying Hilbert space…

量子物理 · 物理学 2025-04-23 Lewis A. Clark , Jan Kolodynski

The simulation cost for cosmological simulation-based inference can be decreased by combining simulation sets of varying fidelity. We propose an approach to such multi-fidelity inference based on feature matching and knowledge distillation.…

宇宙学与河外天体物理 · 物理学 2025-07-02 Leander Thiele , Adrian E. Bayer , Naoya Takeishi

We present a novel probabilistic programming framework that couples directly to existing large-scale simulators through a cross-platform probabilistic execution protocol, which allows general-purpose inference engines to record and control…

Computer models are now widely used across a range of scientific disciplines to describe various complex physical systems, however to perform full uncertainty quantification we often need to employ emulators. An emulator is a fast…

统计方法学 · 统计学 2019-05-06 Ian Vernon , Samuel E. Jackson , Jonathan A. Cumming

Bayesian inference for neural networks, or Bayesian deep learning, has the potential to provide well-calibrated predictions with quantified uncertainty and robustness. However, the main hurdle for Bayesian deep learning is its computational…

机器学习 · 统计学 2023-09-07 Sanket Jantre , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

统计计算 · 统计学 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

Complex computer codes are often too time expensive to be directly used to perform uncertainty propagation studies, global sensitivity analysis or to solve optimization problems. A well known and widely used method to circumvent this…

应用统计 · 统计学 2008-04-06 Amandine Marrel , Bertrand Iooss , Francois Van Dorpe , Elena Volkova

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

机器学习 · 统计学 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence

Estimation of the response probability distributions of computer simulators in the presence of randomness is a crucial task in many fields. However, achieving this task with guaranteed accuracy remains an open computational challenge,…

统计计算 · 统计学 2024-09-04 Chao Dang , Marcos A. Valdebenito , Nataly A. Manque , Jun Xu , Matthias G. R. Faes

Accurate assessment of systematic uncertainties is an increasingly vital task in physics studies, where large, high-dimensional datasets, like those collected at the Large Hadron Collider, hold the key to new discoveries. Common approaches…

统计方法学 · 统计学 2025-10-02 Alexis Romero , Kyle Cranmer , Daniel Whiteson

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

统计方法学 · 统计学 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Multi-fidelity Gaussian process is a common approach to address the extensive computationally demanding algorithms such as optimization, calibration and uncertainty quantification. Adaptive sampling for multi-fidelity Gaussian process is a…

机器学习 · 统计学 2019-07-30 Sayan Ghosh , Jesper Kristensen , Yiming Zhang , Waad Subber , Liping Wang

Continuum-scale material deformation models, such as crystal plasticity, can significantly enhance their predictive accuracy by incorporating input from lower-scale (i.e., mesoscale) models. The procedure to generate and extract the…

材料科学 · 物理学 2026-01-06 Nicholas Huebner Julian , Giacomo Po , Enrique Martinez , Nithin Mathew , Danny Perez